<p>Math 008 - Cooley Prealgebra OCC</p><p>Section 10.1 – Using Unit Fractions with U.S. and Metric Units</p><p>American (U.S.) System of Measurement</p><p>Length Time 12 inches = 1 foot 60 seconds = 1 minute 36 inches = 1 yard 60 minutes = 1 hour 3 feet = 1 yard 24 hours = 1 day 5280 feet = 1 mile 7 days = 1 week</p><p>Weight Volume 16 ounces = 1 pound 8 fluid ounces = 1 cup 2000 pounds = 1 ton 2 cups = 1 pint 2 pints = 1 quart 4 quarts = 1 gallon</p><p>Metric Units of Length</p><p> kilo– hecto– deka– deci– centi– milli– Prefix meter meter meter meter meter meter meter Meaning Thousands Hundreds Tens Tenths Hundredths Thousandsths 1 1 1 1000 100 10 1 10 of a 100 of a 1000 of a Conversion meters meters meters meter meter meter meter Symbol km hm dam m dm cm mm</p><p>Metric Units of Mass</p><p> kilo– hecto– deka– deci– centi– milli– Prefix gram gram gram gram gram gram gram Meaning Thousands Hundreds Tens Tenths Hundredths Thousandsths 1 1 1 1000 100 10 1 10 of a 100 of a 1000 of a Conversion grams grams grams gram gram gram gram Symbol kg hg dag g dg cg mg</p><p>Metric Units of Volume </p><p> kilo– hecto– deka– deci– centi– milli– Prefix Liter liter liter liter liter liter liter Meaning Thousands Hundreds Tens Tenths Hundredths Thousandsths 1 1 1 1000 100 10 1 10 of a 100 of a 1000 of a Conversion liters liters liters liter liter liter liter Symbol kL hL daL L dL cL mL</p><p>1 Math 008 - Cooley Prealgebra OCC</p><p>Section 10.1 – Using Unit Fractions with U.S. and Metric Units Stairwell model of metric measurement.</p><p>Ruler model of metric measurement.</p><p>–gram</p><p> kilo– hecto– deka– –meter deci– centi– milli–</p><p>–liter</p><p>× 103 × 102 × 101 × 100 × 10-1 × 10-2 × 10-3 </p><p> or or or or or or or</p><p>× 1000 × 100 × 10 × 1 × 0.1 × 0.01 × 0.001</p><p>Mnemonic devices for common metric units. </p><p>2 Math 008 - Cooley Prealgebra OCC</p><p>Section 10.1 – Using Unit Fractions with U.S. and Metric Units Prefix kilo hecto deka unit deci centi milli Mnemonic King Henry doesn't usually drink chocolate milk Comparison 1000 100 10 1 0.1 0.01 0.001</p><p>More mnemonic devices for common metric units: king henry drinks many dark chocolate milks king henry drinks unusual decaf coffee mochas king henry danced merrily down center main</p><p> Exercises: Fill in the missing blanks.</p><p> kilo- hecto- deka- -meter deci- centi- milli-</p><p>32 m 657 cg 0.789 km 2543.28 mL 3.1 dg</p><p> Exercises: Complete the following statements. Use unit analysis to express each conversion.</p><p>1) 63 feet = ______yards</p><p>2) 11 feet = ______inches</p><p>3) 5 miles = ______feet</p><p>4) 21,120 feet = ______miles</p><p>5) 15 gallons = ______quarts</p><p>6) 24 pints = ______quarts</p><p>7) 40 fluid ounces = ______cups</p><p>8) 56 days = ______weeks</p><p>3 Math 008 - Cooley Prealgebra OCC</p><p>Section 10.1 – Using Unit Fractions with U.S. and Metric Units 9) 1500 seconds = ______minutes</p><p>10) 90 inches = ______feet</p><p>4 Math 008 - Cooley Prealgebra OCC</p><p>Section 10.1 – Using Unit Fractions with U.S. and Metric Units</p><p> Exercises: </p><p>Complete the following statements. Use unit analysis to express each conversion.</p><p>11) 79 cm = ______mm</p><p>12) 2940 g = ______kg</p><p>13) 8.3 km = ______m</p><p>14) 10,600 mm = ______m</p><p>15) 31.5 mL = ______L</p><p>16) 35 dg = ______cg</p><p>17) 9.14 cm = ______m</p><p>18) 840 mm = ______km</p><p>19) 270 dm = ______m</p><p>20) 530 dam = ______m</p><p>21) 14.3 kL = ______mL</p><p>22) 435 hm = ______km</p><p>23) 35 g = ______mg</p><p>5</p>